| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If a mayor is elected with 90% of the votes cast and 63% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 20,790 | |
| 16,078 | |
| 24,948 | |
| 18,572 |
If 63% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{63}{100} \)) x 44,000 = \( \frac{2,772,000}{100} \) = 27,720
The mayor got 90% of the votes cast which is:
(\( \frac{90}{100} \)) x 27,720 = \( \frac{2,494,800}{100} \) = 24,948 votes.
What is -2a5 + 4a5?
| 2a5 | |
| 2a25 | |
| 2a10 | |
| 6a-5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-2a5 + 4a5
(-2 + 4)a5
2a5
What is (z5)2?
| z-3 | |
| z10 | |
| 5z2 | |
| z3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)2A tiger in a zoo has consumed 60 pounds of food in 12 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 75 pounds?
| 13 | |
| 5 | |
| 12 | |
| 3 |
If the tiger has consumed 60 pounds of food in 12 days that's \( \frac{60}{12} \) = 5 pounds of food per day. The tiger needs to consume 75 - 60 = 15 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{15}{5} \) = 3 more days.
What is \( \frac{3}{7} \) ÷ \( \frac{2}{7} \)?
| 3 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{36}\) | |
| \(\frac{1}{18}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{2}{7} \) = \( \frac{3}{7} \) x \( \frac{7}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{7}{2} \) = \( \frac{3 x 7}{7 x 2} \) = \( \frac{21}{14} \) = 1\(\frac{1}{2}\)